Etude théorique des marches quantiques dissipatives sur des graphes complexes

Abstract : The scope of this PhD is twofold and can be integrated simultaneously in quantum infor­mation theory and energy transport. We theoretically study the excitonic quantum transport in order to transmit either quantum information or energy on complex molecular networks. In this context, we pay a special attention to the modulations that different quantum envi­ronments can generate on the excitonic transport. In a first part of the manuscript, we focus on the quantum transport of information in the presence of a local phononic environment. In this context, we introduce a theoretical approach, named PT*, treating on an equal footing exciton and phonons. Firstly, this theory is applied to a particular case : the star graph. Then, PT* is compared to exact numerical calculations realized on a collection of different graphs. In this context, we demonstrate that the PT* approach shows a very strong predictability but also several theoretical and numerical advantages (simulation duration, entanglement interpretations ... ). In a second part of the manuscript, we study the quantum transport of energy on a complex graph in contact with an external absorbing system. We focus on the optimisation of the absorption process ("superradiance transition"). We demonstrate that the topology of the considered network influences the absorption evolution. In order to extend this study, we then consider the presence of a local disorder breaking the inner symetry of the graph. In this context, we show that the disorder can benefically influence the absorption process.
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Saad Yalouz. Etude théorique des marches quantiques dissipatives sur des graphes complexes. Technologies Émergeantes [cs.ET]. Université Bourgogne Franche-Comté, 2018. Français. ⟨NNT : 2018UBFCD037⟩. ⟨tel-02129187⟩

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